Question

(4/5)x-2>(3/10)•2x what is the solution

Answer 1

`\displaystyle x > 10`

General Formulas and Concepts:
Algebra I

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Terms/Coefficients

Explanation:

Step 1: Define

Identify given.

`\displaystyle (4)/(5)x - 2 > (3)/(10) 2x`

Step 2: Solve for x

1. Simplify:
   
   `\displaystyle (4)/(5)x - 2 > (3)/(5)x`
2. [Subtraction Property of Equality] Subtract x term on both sides:
   
   `\displaystyle (1)/(5)x - 2 > 0`
3. [Addition Property of Equality] Add 2 on both sides:
   
   `\displaystyle (1)/(5)x > 2`
4. [Multiplication Property of Equality] Multiply 5 on both sides:
   
   `\displaystyle x > 10`

∴ any number x greater than 10 would work as a solution.

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Topic: Algebra I